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Lower bound of the largest irreducible character degree of alternating group $A_n$

My original answer was flawed. I am replacing it with the following. The irreducible representations $M_\lambda$ of the symmetric group $S_n$ are indexed by partitions $\lambda$ of $n$. If $\lambda\...
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10 votes
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What is the centralizer of a Young subgroup of $S_n$?

This answer is largely inspired by the wonderful paper of Samuel Creedon, The Farahat-Higman Algebra of Centralizers of Symmetric Group Algebras, which studies in detail the case of $\mathbb{C}S_n^{S_{...
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